Publications related to Optimal flow control for Navier-Stokes equations: drag minimization

Optimal control for Partial Differential Equations

In this project report, we first present the application of the finite elements method to the numerical approximation of elliptic and parabolic PDEs over two-dimensional domains. We then consider the theory and numerical approximation of optimal control pr ...

2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan, Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is handled separately [1-3]. This method is used here to analyze ...

2013

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Jacques Rappaz, Stéphane Flotron

In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energ ...

EDP Sciences2013

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

Ricardo Esteban Ruiz Baier

This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...

Elsevier2013

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Ricardo Esteban Ruiz Baier

This paper deals with the numerical approximation of the stationary two-dimensional Stokes equations, formulated in terms of vorticity, velocity and pressure, with non-standard boundary conditions. Here, by introducing a Galerkin least-squares term, we end ...

Elsevier2013

Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty

Alfio Quarteroni, Gianluigi Rozza, Andrea Manzoni, Toni Mikael Lassila

We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting ar ...

EDP Sciences2013

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Gianluigi Rozza, Andrea Manzoni

In this paper we review and we extend the reduced basis approximation and a posteriori error estimation for steady Stokes flows in affinely parametrized geometries, focusing on the role played by the Brezzi's and Babuska's stability constants. The crucial ...

Springer Verlag2013

Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface

Alfio Quarteroni, Carlo D'Angelo

In this article the Stokes equations are considered in a domain simulating a capillary bed system. The capillaries are supposed to be thin, parallel and periodic. An asymptotic approximation is constructed. The macroscopic pressure satisfies a Robin interf ...

Taylor & Francis Ltd2013

Partial slip at fluid-solid boundaries by multiparticle collision dynamics simulations

Giuseppe Foffi, Maxim Belushkin, Samuel Hanot

The understanding of the exact boundary conditions at the interface between a solid and a fluid is becoming increasingly important, as the limitations of the no-slip boundary condition are becoming apparent, especially in micro- and nanofluidics applicatio ...

Royal Soc Chemistry2013

Optimal flow control for Navier-Stokes equations: drag minimization

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Optimal control for Partial Differential Equations

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface

Partial slip at fluid-solid boundaries by multiparticle collision dynamics simulations

Optimal control for Partial Differential Equations

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations

An augmented mixed finite element method for the vorticity-velocity-pressure formulation of the Stokes equations

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir-capillaries interface

Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty

Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Partial slip at fluid-solid boundaries by multiparticle collision dynamics simulations